Title :
On model reduction by modified Cauer form
Author :
Parthasarathy, R. ; Jayasimha, K.N. ; John, Sarasu
Author_Institution :
University of Roorkee, Roorkee, India
fDate :
4/1/1983 12:00:00 AM
Abstract :
A simple algorithm for obtaining the continued fraction quotients in the modified Cauer form (MCF) from the given system matrices in companion form is presented. In the sequel, the triple of all lower order models in companion form is directly obtained. A matrix method of obtaining the time-moments and Markov parameters from the MCF quotients is also outlined. Finally, it is shown that system reduction by matching a set of MCF quotients is equivalent to system reduction by matching a set of time-moments and Markov parameters.
Keywords :
Companion matrices; Continued fractions; Reduced-order systems; Transfer functions; Automatic control; Control systems; Controllability; Delay effects; Delay systems; Jacobian matrices; Laplace equations; Linear systems; Polynomials; Reduced order systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1983.1103262
